Generalized g-Fractional Calculus of Canavati-Type and Secant-Like Methods

被引：0
|
作者：
Anastassiou G.A. [1 ]
Argyros I.K. [2 ]
机构：
[1] Department of Mathematical Sciences, University of Memphis, Memphis, 38152, TN
[2] Department of Mathematical Sciences, Cameron University, Lawton, 73505, Ok
来源：
International Journal of Applied and Computational Mathematics | 2017年 / 3卷 / 3期
关键词：
Banach space; Fractional calculus; Generalized fractional derivatives; Secant-like method; Semilocal-local convergence;
D O I：
10.1007/s40819-016-0214-3
中图分类号：
学科分类号：
摘要：
We present local and semilocal convergence results for secant-like methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Finally, we present some applications from generalized g-fractional calculus involving Canavati-type functions. © 2016, Springer India Pvt. Ltd.
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页码：1605 / 1617
页数：12
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